# Math 170 Test 2 Review Answers

Please let me know if you find any incorrect answers.

**A. Zeros of a Polynomial
**

**B. Zeros and Multiplicities
**1.zero at
-5/2 mult.
1 and zero at 2 mult. 2

2. zero at –2 with mult. 1 and zero at 1 with mult. 2

3. zeros at –4, 5/3, –5 with mult. of 1 for each.

**C. End Behavior of Polynomials**

1. rises left, falls right

2. falls left, falls right

3. falls left, rises right

**D. Long or Synthetic Division**

**E. More with polynomials and zeros
**1. 0, multiplicity 4; –3, multiplicity 2; 7, multiplicity 8

2. p(x) = (x

^{2}+ 9)(x + 4)

^{2}

3.

**F. Vertical Asymptotes**

1. x = −1 and x = 1

3. x = 2

**G. More with rational functions **

**H. Applications of Rational Functions
**1. 5 hundred

2. 15 is the H.A., the average cost when producing a great number of games is $15.

3. 0.16 ppm is the concentration after a long time.

**I. Rewrite in the equivalent logarithmic for**2. ln(5) = 3x

**J. Rewrite in the equivalent exponential form **1**.**
2.

**K. Compound interest **

1. a) $31,050.37 b) $31,078.69

2. a) $13,745.79 b) $14,861.26

**L. Properties of Logarithms
**1. 5log(x) + 7 log(y) − 3log(z)

**N. Domain of Logarithms function
**1. a) (−∞,3) b) (− 4,∞)

**P. Applications of Exponential Equations
**1. 15.93 days

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